Grade 8 StandardsThe Number System• Know that there are numbers that are not rational, and approximate them by rational numbers.• Use rational number approximations of irrational numbers to compare size and placement on a number line.Expressions and Equations• Know and apply the properties of integer exponents to generate equivalent numerical expressions• Use square roots and cube roots to represent solutions to equations• Use number expressed in scientific notation to estimate large and small numbers• Perform operations with numbers expressed in scientific notation• Graph proportional relationships, interpreting the unit rate as the slope of the graph• Use similar triangles to explain slope: Parallel and perpendicular lines• Solve linear equations in one variable: a. One solution, no solution, infinite solutions b. Rational number coefficients, expanding by using the distributive property• Analyze and solve pairs of simultaneous equations a. Understanding that solutions of the system of equations correspond to the points of intersection on a graph b. Solve systems in two variables both algebraically and through estimation on a graph c. Solve real world and mathematical problems using system of equations with two variablesFunctions• Define, evaluate, and compare functions.• Compare properties of two functions in different ways: algebraically, graphically, numerically in tables, or using verbal descriptions• Use functions to model relationships between quantities.• Comparing linear and nonlinear functions

Geometry• Verify experimentally the properties of rotation, reflection, translation• Describe the effect of dilation, translations, rotations, and reflections• Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of transformations• Use informal arguments to establish facts about the angle sum and exterior angle of triangles, angles created by a transversal cutting parallel lines• Understand and apply the Pythagorean Theorem.• Apply the Pythagorean Theorem to the distance between two points in a coordinate system• Solve real-world and mathematical problemsinvolving volume of cylinders, cones and spheres.Statistics and Probability• Construct and interpret scatter plots• Know that linear widely used to model relationships between two quantitative variables• Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept

Standards for Mathematical Practices - • Make sense of problems and persevere in solving them. • Reason abstractly and quantitatively. • Construct viable arguments and critique the reasoning of others. • Model with mathematics • Use appropriate tools strategically. • Attend to precision. • Look for and make use of structure. • Look for and express regularity in repeated reasoning.

﻿Textbooks - Books will be used to assist the students to develop a greater understanding of the common core.﻿

Math in Focus: Course 3

Book A

Expressions and equations - linear equations with one variable, linear equations with two variables, one solution, no solutions and infinite solutions, lines and linear equations, systems of equations using different methods